4.1 Filtering vs Convolution

In this class, we will learn about Filtering vs Convolution.

 

 

 

 

● Filters

We have learned Box, Gaussian, Sobel, Laplace filters.

Let's compare Filtering and Convolution.

Filering vs Convolution

There is a difference between filtering and convolution.

Filter flipped vertically and horizontally.

 

 

 

● Derivative Theorem of Convolution

 

① Commutative

commutative

- can move stuff around

 

② Associative

Associative

- can regroup things

 

③ Distributes over addition

Distributes over addition

- can take things through parenthesis

 

④ Scalars factor out

Scalars factor out

Derivative Theorem of Convolution

 

 

 

 

In next class, we will find out how to define boundaries.